11. The area of a rhombus is
. If the altitude is 17.5cm,find the length of each side of rhombus.
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Question:
The area of a rhombus is 220.5cm². If the altitude is 17.5cm, find the length of each side of rhombus.
Solution:
Given that :-
- Area of rhombus is 220.5cm².
- It's altitude/height is 17.5cm.
To find :-
- The length of each side of rhombus.
Answer :-
We know the formula of the area of rhombus:-
»» Base × Altitude
Let 's' to be the base
=> 220.5cm² = s × 17.5cm
=> 220.5cm² = s × 17.5cm²
=> 220.5cm² / 17.5cm² = s
=> 220.5/17.5 = s
=> s = 12.6
Therefore, The length of each side of rhombus is 12.6cm
Check:
Area of rhombus = Base × Altitude
=> Base = 12.6cm
=> Altitude = 17.5cm
=> 12.6cm × 17.5cm
=> 220.5cm²
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